The sign-up bonus of 50,000 miles for a Southwest Visa credit card is no longer available, as of 2015, but information about the Southwest Visa card is listed on the websites for Southwest Airlines and Chase Bank. The Visa has a promotion with 25,000 sign-up miles, as of May, 2015.
Additional information can be obtained by speaking with a banker at local Chase Bank branches or by applying online, according to Chase Bank. Promotions often change, so it helps to check both websites frequently to see if the airline brings back the 50,000-mile promotion. The offer comes with rules and stipulations, so users must be aware of what it takes to actually receive the miles.